Bounding the number of generators of a module

DOI10.1007/BF01214784zbMath0362.13004OpenAlexW2044501333MaRDI QIDQ1239770

Roger Wiegand, Vasconcelos, Wolmer V.

Publication date: 1978

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172761

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (9)

Basic elements and generating sets for projective modules over non-noetherian polynomial rings ⋮ Two-generated ideals in non-Noetherian semigroup rings ⋮ Numbers of generators of ideals in zero-dimensional group rings ⋮ Globalization of local epimorphisms ⋮ Number of generators of a module over a ring of polynomials ⋮ Projective summands in generators ⋮ Commutative rings of bounded module type ⋮ Local-global bounds for number of generators of projective modules over polynomial rings ⋮ Modules

Cites Work

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• Projective modules
• Generating ideals in Prüfer domains
• Generating modules efficiently: Theorems from algebraic K-theory
• Finitely generated modules over Bezout rings
• Über die Anzahl der Erzeugenden eines Ideals in einem Noetherschen Ring
• The number of generators of a module
• Grothendieck groups and Picard groups of abelian group rings
• Prime Ideal Structure in Commutative Rings
• Projective modules over polynomial rings
• Modules over universal regular rings

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